Please help. Refer to the figure. Find the missing measure of each angle.a) m<1= ?
b) m<2= ?
c) m<3= ?
d) m<4= ?
e) m<5= ?
f) m<6= ?
Please help. Refer to the figure. Find the missing measure - 1

Answers

Answer 1
Answer:

The measures are: ∠ 1 = 80°, ∠ 2 = 57°, ∠ 3 = 57°, ∠ 4 = 43°, ∠ 5 = 137° and ∠ 6 = 123°

What is an angle?

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays.

Given is a figure, (refer to figure attached)

1) ∠ 1 = 80° (vertically opposite angles)

2) 43°+∠ 1 + ∠ 2 = 180° (linear pair)

∠ 2 = 180°-(43+80)

∠ 2 = 57°

3) ∠ 3 = ∠ 7 (alternate interior angles)

∠ 7 = ∠ 2 (vertically opposite angles)

∠ 3 = ∠ 2 (transitive property)

∠ 3 = 57°

4) ∠ 4 = ∠ 8 (alternate interior angle)

∠ 8 = 43° (vertically opposite angles)

∠ 4 = 43° (transitive property)

5) ∠ 5 = ∠ 1 + ∠ 2 (corresponding angles)

∠ 5 = 137°

6) ∠ 6 = 80° + ∠ 8 (corresponding angles)

∠ 6 = 80° + 43°

∠ 6 = 123°

Hence, The measures are: ∠ 1 = 80°, ∠ 2 = 57°, ∠ 3 = 57°, ∠ 4 = 43°, ∠ 5 = 137° and ∠ 6 = 123°

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Answer 2
Answer:

m<1= 80 due to the Corresponding Angles Postulate.

m<2= 360-(80+80)-(43+43) = 360-246 = 114/2 = 57

m<3= 57

m<4= 57+80+x = 180 ---> 137+x = 180 ---> x = 43

m<5= 180-43 = 137

m<6= 180-57 = 123


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Why is a square also a rhombus?

Answers

Answer:

A square is a quadrilateral with all sides equal in length and all interior angles right angles. Thus a rhombus is not a square unless the angles are all right angles. A square however is a rhombus since all four of its sides are of the same length.

Step-by-step explanation:

Hope thats helpful! :)

you can find the answer to this by looking at the properties of both shapes. a rhombus has Opposite sides that are parallel, Adjacent angles are supplementary, All the four sides are equal, and all 4 sides bisect forming right angles. a square also has these properties therefore a square can classify as a rhombus. but be careful, just because a square is a rhombus, it doesn't always necessary mean that a rhombus is always a square

I really need help!! this is for the end of year assessment and i have to get this last one right so i don't have an F in math.Sierra and Alek each have five cousins. Their ages are listed below.

Sierra’s cousins: 2, 11, 12, 13, 15
Alek’s cousins: 9, 11, 11, 12, 13

Which of the following statements is true?
A.For both sets of data, the median is equal to the mean.
B.The ages of Sierra's cousins are more spread out than those of Alek's cousins.
C.The mean age of Sierra's cousins is greater than that of Alek's cousins.
D.There are no outliers.

Answers

Answer: B: The ages of Sierra's cousins are more spread out than those of Alek's cousin.

How do you find the answer to 6.45 divided by 5

Answers

turn the decimal into a whole number and then devide it

I got to do number 8

Answers

      2x-4=5* u need at least 20 characters


Suzanne is 64 inches tall. What is Suzannes height in feet and inches

Answers

After the unit conversion of the given data, its height of Suzanne will be equal to 5 feet 4 inches.

What is Unit conversion?

Multiplying or dividing by a numeric number, or more specifically, a correction factor is a procedure comprising several steps known as conversion. Rounding and choosing the appropriate number of significant digits may also be necessary steps in the procedure.

As per the data available in the question,

As we know,

1 foot = 12 inches

64 ÷ 12 = 5 Feet

And the remainder is 4 which means that an extra 4 inches

So, her height must be 5 feet and 4 inches.

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There's 12 inches in 1 foot.

64 ÷ 12 = 5 with a remainder of 4

Suzanne is 5 foot 4 inches.

Hope this helps.

What is the value of x? Round your answer to the nearest tenth if necessary.Right triangle whose two legs measure seven and four, and whose hypotenuse is x

Answers

We know that to find the sides of a right triangle we can use the Pythagorean theorem: A^2 + B^2 = C^2.

Plugging in our sides into the equation:
7^2 + 4^2 = x^2
49 + 16 = x^2
65 = x^2
x = 8.06

Rounding x to the nearest tenth, we get x = 8.1